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Finding the Fourth Proportional to 186,542.29, 257,420.85 and 101,657.53

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Solution

The fourth proportional to 186,542.29, 257,420.85 and 101,657.53 is: 140,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,542.29 : 257,420.85 = 101,657.53 : x
  2. Step 2: Convert to fraction form
    186,542.29/257,420.85 = 101,657.53/x
  3. Step 3: Cross multiply
    186,542.29x = 257,420.85 × 101,657.53
  4. Step 4: Simplify right side
    186,542.29x = 26,168,767,781.50
  5. Step 5: Solve for x
    x = 26,168,767,781.50/186,542.29
  6. Step 6: Final answer
    x = 140,283.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.